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Some Remarks on A Priori Error Estimation for ESVDMOR
2011In previous work it is shown how to numerically improve the ESVDMOR method of Feldmann and Liu to be really applicable to linear, sparse, very large scale, and continuous-time descriptor systems. Stability and passivity preservation of this algorithm is also already proven.
Peter Benner, André Schneider
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Error Estimations in Linear Inverse Problems With a Priori Information
Volume 2: 31st Computers and Information in Engineering Conference, Parts A and B, 2011We consider an inverse problem for an operator equation Az = u. The exact operator A and the exact right-hand side u are unknown. Only their upper and lower estimations are available. We provide techniques of calculating upper and lower estimations for the exact solution belonging to a compact set in this case, as well as a posteriori error estimations.
Anatoly G. Yagola, Yury M. Korolev
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A new a priori error estimate of nonconforming finite element methods
Science China Mathematics, 2014The authors consider second- and fourth-order elliptic equations along with Dirichlet boundary conditions in \(n=2\) and \(n=3\) dimensions. Assuming \(H^m\) regularity of the exact solutions and shape regular partitions into simplices or \(n\)-paralellotopes, they investigate the accuracy of nonconforming finite element methods, continuing work of ...
Hu, Jun, Ma, Rui, Shi, Zhongci
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A Priori Truncation Error Estimates for Stieltjes Fractions
1981Stieltjes fractions are here studied in the form K(a n z/1), a n > 0, n ≥ 1. They provide expansions for many useful functions and have integral representations $$ \int\limits_0^\infty {\frac{{zd\psi (t)}}{{1 + zt}}} $$ .
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A Priori Error Estimates for Nonlinear Scalar Conservation Laws
1999In this note, we review the recent work of the authors on a priori error estimates for nonlinear scalar conservation laws. A priori error estimates are important because they shed light into the nature of the corresponding numerical scheme. In this note, we show how to use our a priori error estimation technique to study multidimensional monotone ...
Bernardo Cockburn +2 more
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A priori error estimates for hp penalty BEM for contact problems in elasticity
Computer Methods in Applied Mechanics and Engineering, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chernov, A. +2 more
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A Priori Error Estimates for State-Constrained Semilinear Parabolic Optimal Control Problems
Journal of Optimization Theory and Applications, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Francesco Ludovici +2 more
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Temporal localized nonlinear model reduction with a priori error estimate
Applied Numerical Mathematics, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A priori estimates of the approximation errors of a multidimensionalg-fraction
Journal of Mathematical Sciences, 1999Applying a multidimensional π-fraction, we establish estimates of the rate of convergence of a multidimensional g-fraction in certain bounded domains.
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A priori error estimates for a coseismic slip optimal control problem
Applied Numerical MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jorge Aguayo, Rodolfo Araya
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